Prime p₀= 2807584944601023203 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 104 10 62 24 42 22 38 22 42 24 62 10 104 24 (?)
a_n: 0 24 128 138 200 224 266 288 326 348 390 414 476 486 590 614
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 614
Found by: [SG]ATA-Rolf
db: batch=82, k=16, 24 104 10 62 24 42 22 38

SPT(16)	2807583859071223651	0 12 18 40 46 58 66 70 198 202 210 222 228 250 256 268	-1085529799552
SPT(16)	2807583902167511981	0 2 8 26 42 50 152 182 246 276 378 386 402 420 426 428	-1042433511222
SPT(16)	2807583916231396307	0 20 32 120 140 150 176 186 416 426 452 462 482 570 582 602	-1028369626896
STPT(10)	2807584112154846779	0 2 18 20 30 32 42 44 60 62	-832446176424
SPT(16)	2807584328168714167	0 16 30 36 82 112 150 154 162 166 204 234 280 286 300 316	-616432309036
SPT(16)	2807584637829071671	0 30 36 90 96 156 160 162 250 252 256 316 322 376 382 412	-306771951532
SPT(16)	2807584970693023753	0 4 36 40 66 130 138 166 168 196 204 268 294 298 330 334	26092000550
SPT(16)	2807585013273860279	0 18 38 48 78 152 180 194 258 272 300 374 404 414 434 452	68672837076
SPT(16)	2807585296780473883	0 48 70 90 114 154 168 198 280 310 324 364 388 408 430 478	352179450680
STPT(10)	2807585467558823837	0 2 54 56 72 74 90 92 144 146	522957800634
SPT(16)	2807585719837207597	0 36 112 124 142 162 186 210 226 250 274 294 312 324 400 436	775236184394